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GCSEMathsAQAHigherFlashcards4. Geometry & MeasuresVolume & Surface Area

Volume & Surface Area (AQA GCSE Maths)

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    What is the formula for the volume of a cuboid?

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  • What is the formula for the volume of a cuboid?

    The formula for the volume of a cuboid is V equals l cross times w cross times h

    Where:

    • V equalsvolume

    • l equalslength

    • w equalswidth

    • h equalsheight

  • What is the formula for the volume of a cylinder?

    The formula for the volume of a cylinder is V equals pi r squared h

    Where:

    • V equalsvolume

    • r equalsradius

    • h equalsheight

  • What is the formula for the volume of a cone?

    The formula for the volume of a cone is V equals 1 third pi r squared h

    Where:

    • V equalsvolume

    • r equalsradius

    • h equalsperpendicular height

  • What is the formula for the volume of a sphere?

    The formula for the volume of a sphere is V equals 4 over 3 pi r cubed

    Where:

    • V equalsvolume

    • r equalsradius

  • What is the formula for the volume of a pyramid?

    The formula for the volume of a pyramid is V equals 1 third A h

    Where:

    • V equalsvolume

    • A equalsarea of the base

    • h equalsperpendicular height of the pyramid

  • What is the formula for the volume of a prism?

    The formula for the volume of a prism is V equals A l

    Where:

    • V equalsvolume

    • A equalscross-sectional area

    • l equalslength

  • What is a frustum?

    A frustum is a truncated (chopped-off) cone or pyramid.

    E.g.

    A truncated cone (frustum).

  • How can the volume of a hemisphere be found?

    The volume of a hemisphere can be found by halving the volume of the complete sphere.

  • How can the volume of a frustum be found?

    The volume of a frustum is the volume of the larger cone/pyramid minus the volume of the smaller cone/pyramid that has been 'cut off'.

  • What is the formula for the surface area of a cylinder?

    The formula for the surface area of a cylinder is A equals 2 pi r squared plus 2 pi r h

    Where:

    • A equals surface area

    • r equalsradius

    • h equalsheight

  • True or False?

    The formula for the curved surface area of a cone is A equals pi r l plus pi r squared

    Where:

    • A equalssurface area

    • r equalsradius

    • l equalsslant height

    False.

    A equals pi r l plus pi r squared is the total surface area of a cone.

    The formula for the curved surface area of a cone is A equals pi r l

    Where:

    • A equalssurface area

    • r equalsradius

    • l equalsslant height

    (pi r squared is the area of the circular base of the cone.)

  • What is the formula for the surface area of a sphere?

    The formula for the surface area of a sphere is A equals 4 pi r squared

    Where:

    • A equalssurface area

    • r equalsradius

  • True or False?

    The surface area of a hemisphere comprises the surface area of a sphere and the area of a circle of the same radius.

    False.

    The surface area of a hemisphere comprises half the surface area of a sphere, and the area of a circle of the same radius.

  • True or False?

    The surface area of a cuboid consists of three pairs of equal rectangles.

    True.

    The surface area of a cuboid consists of three pairs of equal rectangles.

  • What is the formula for the total surface area of a cone?

    The formula for the total surface area of a cone is A equals pi r squared plus pi r l

    Where:

    • A equalssurface area

    • r equalsradius

    • l equalsslant height

  • True or False?

    The net of a cylinder consists of two circles and a rectangle.

    True.

    The net of a cylinder consists of two circles and a rectangle.

Previous:Circles, Arcs & SectorsNext:Congruence, Similarity & Geometrical Proof

    1. Topic 1

      Number Operations

    2. Topic 2

      Prime Factors, HCF & LCM

    3. Topic 3

      Powers, Roots & Standard Form

    4. Topic 4

      Fractions

    5. Topic 5

      Percentages

    6. Topic 6

      Simple & Compound Interest, Growth & Decay

    7. Topic 7

      Fractions, Decimals & Percentages

    8. Topic 8

      Rounding, Estimation & Bounds

    9. Topic 9

      Surds

    10. Topic 10

      Using a Calculator

    1. Topic 1

      Introduction to Algebra

    2. Topic 2

      Algebraic Roots & Indices

    3. Topic 3

      Expanding Brackets

    4. Topic 4

      Factorising

    5. Topic 5

      Completing the Square

    6. Topic 6

      Algebraic Fractions

    7. Topic 7

      Rearranging Formulas

    8. Topic 8

      Algebraic Proof

    9. Topic 9

      Linear Equations

    10. Topic 10

      Quadratic Equations

    11. Topic 11

      Simultaneous Equations

    12. Topic 12

      Iteration

    13. Topic 13

      Forming & Solving Equations

    14. Topic 14

      Functions

    15. Topic 15

      Coordinate Geometry

    16. Topic 16

      Linear Graphs

    17. Topic 17

      Graphs of Functions

    18. Topic 18

      Equation of a Circle

    19. Topic 19

      Estimating Gradients & Areas under Graphs

    20. Topic 20

      Real-Life Graphs

    21. Topic 21

      Solving Inequalities

    22. Topic 22

      Graphing Inequalities

    23. Topic 23

      Transformations of Graphs

    24. Topic 24

      Sequences

    1. Topic 1

      Ratios

    2. Topic 2

      Problem Solving with Ratios

    3. Topic 3

      Direct & Inverse Proportion

    4. Topic 4

      Standard & Compound Units

    5. Topic 5

      Exchange Rates & Best Buys

    1. Topic 1

      Symmetry & Shapes

    2. Topic 2

      Angles in Polygons & Parallel Lines

    3. Topic 3

      Bearings, Scale Drawing, Constructions & Loci

    4. Topic 4

      Circle Theorems

    5. Topic 5

      Area & Perimeter

    6. Topic 6

      Circles, Arcs & Sectors

    7. Topic 7

      Volume & Surface Area

    8. Topic 8

      Congruence, Similarity & Geometrical Proof

    9. Topic 9

      Area & Volume of Similar Shapes

    10. Topic 10

      Pythagoras & Trigonometry

    11. Topic 11

      Sine, Cosine Rule & Area of Triangles

    12. Topic 12

      3D Pythagoras & Trigonometry

    13. Topic 13

      Vectors

    14. Topic 14

      Transformations

    1. Topic 1

      Introduction to Probability

    2. Topic 2

      Simple Probability Diagrams

    3. Topic 3

      Tree Diagrams

    4. Topic 4

      Combined & Conditional Probability

    1. Topic 1

      Averages, Ranges & Data

    2. Topic 2

      Statistical Diagrams

    3. Topic 3

      Histograms

    4. Topic 4

      Cumulative Frequency & Box Plots

    5. Topic 5

      Scatter Graphs & Correlation